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Finding the Fourth Proportional to 2,087.25, 3,131.30 and 933

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Solution

The fourth proportional to 2,087.25, 3,131.30 and 933 is: 1,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.25 : 3,131.30 = 933 : x
  2. Step 2: Convert to fraction form
    2,087.25/3,131.30 = 933/x
  3. Step 3: Cross multiply
    2,087.25x = 3,131.30 × 933
  4. Step 4: Simplify right side
    2,087.25x = 2,921,498.24
  5. Step 5: Solve for x
    x = 2,921,498.24/2,087.25
  6. Step 6: Final answer
    x = 1,399.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.